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Finding the Fourth Proportional to 703.73, 971.33 and 408.96

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Solution

The fourth proportional to 703.73, 971.33 and 408.96 is: 564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.73 : 971.33 = 408.96 : x
  2. Step 2: Convert to fraction form
    703.73/971.33 = 408.96/x
  3. Step 3: Cross multiply
    703.73x = 971.33 × 408.96
  4. Step 4: Simplify right side
    703.73x = 397,233.07
  5. Step 5: Solve for x
    x = 397,233.07/703.73
  6. Step 6: Final answer
    x = 564.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.